Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 1, Pages 63–67 (Mi vmumm12)  
This article is cited in 1 scientific paper (total in 1 paper)

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Semicontinuity of majorants and minorants of Lyapunov exponents as functions of a complex parameter

A. N. Vetokhin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A parametric family of linear differential systems with continuous coefficients bounded on the semi-axis and analytically dependent on a complex parameter is considered. It is established that the majorant (minorant) of the Lyapunov exponent considered as a function of the parameter is upper (lower) semi-continuous.
Key words: Lyapunov exponents.
Received: 20.05.2015
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 1, Pages 34–37
DOI: https://doi.org/10.3103/S0027132218010060
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. N. Vetokhin, “Semicontinuity of majorants and minorants of Lyapunov exponents as functions of a complex parameter”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 1, 63–67; Moscow University Mathematics Bulletin, 73:1 (2018), 34–37
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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